Nearly optimal stability for Serrin's problem and the Soap Bubble\n theorem

2019/03/12 by Rolando Magnanini, Magnanini, Rolando, Giorgio Poggesi +1 · 1 citation
Mathematics · #Nonlinear Partial Differential Equations #Geometric Analysis and Curvature Flows #Advanced Differential Equations and Dynamical Systems

paper · pdf · doi:10.48550/arxiv.1903.04823

Abstract

We present new quantitative estimates for the radially symmetric\nconfiguration concerning Serrin's overdetermined problem for the torsional\nrigidity, Alexandrov's Soap Bubble Theorem, and other related problems. The new\nestimates improve on those obtained in two our previous articles, and are in\nsome cases optimal.\n

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• Optimal quantitative stability estimates for Alexandrov's Soap Bubble Theorem via Gagliardo-Nirenberg-type interpolation inequalities

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